In mathematics, the Sugeno integral, named after M. Sugeno, [1] is a type of integral with respect to a fuzzy measure.
Let be a measurable space and let be an - measurable function.
The Sugeno integral over the crisp set of the function with respect to the fuzzy measure is defined by:
where .
The Sugeno integral over the fuzzy set of the function with respect to the fuzzy measure is defined by:
where is the membership function of the fuzzy set .
Sugeno integral is related to h-index. [2]
In mathematics, the Sugeno integral, named after M. Sugeno, [1] is a type of integral with respect to a fuzzy measure.
Let be a measurable space and let be an - measurable function.
The Sugeno integral over the crisp set of the function with respect to the fuzzy measure is defined by:
where .
The Sugeno integral over the fuzzy set of the function with respect to the fuzzy measure is defined by:
where is the membership function of the fuzzy set .
Sugeno integral is related to h-index. [2]